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Advanced Math / Nonlinear functions Difficulty: Easy

The graph shows the predicted value $y$ , in dollars, of a certain sport utility vehicle $x$ years after it is first purchased.

Which of the following is closest to the predicted value of the sport utility vehicle $3$ years after it is first purchased?

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Explanation

Choice B is correct. For the graph shown, the horizontal axis represents the number of years after a certain sport utility vehicle is first purchased, and the vertical axis represents the predicted value, in dollars, of the sport utility vehicle. According to the graph, $3$ years after the sport utility vehicle is purchased, the predicted value of the sport utility vehicle is between $dollar sign 10,000$ and $dollar sign 15,000$ . Of the given choices, only $dollar sign 13,632$ is between $dollar sign 10,000$ and $dollar sign 15,000$ . Therefore, $dollar sign 13,632$ is closest to the predicted value of the sport utility vehicle $3$ years after it is first purchased.

Choice A is incorrect. This is closest to the predicted value of the sport utility vehicle $5$ years after it is first purchased.

Choice C is incorrect. This is closest to the predicted value of the sport utility vehicle $1$ year after it is first purchased.

Choice D is incorrect. This is closest to the predicted value of the sport utility vehicle when it is first purchased.